Scattering theory for time-dependent zero-range potentials
Scattering theory: Some old and new problems.
Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field
We consider the zigzag half-nanotubes (tight-binding approximation) in a uniform magnetic field which is described by the magnetic Schrödinger operator with a periodic potential plus a finitely supported perturbation. We describe all eigenvalues and resonances of this operator, and theirs dependence on the magnetic field. The proof is reduced to the analysis of the periodic Jacobi operators on the half-line with finitely supported perturbations.
Schrödinger operators with Highly Singular, Oscillating Potentials.
Semiclassical resolvent estimates
Semiclassical resolvent estimates for two and three-body Schrödinger operators
Semiclassical scattering by the Coulomb potential
Shadow scattering by magnetic fields in two dimensions
Singular spectrum of products of distributions at points
Soliton scattering by delta impurities
Solutions of initial value problems for a pair of linear first order ordinary differential systems with interface-spatial conditions.
Solvable two-body Dirac equation as a potential model of light mesons.
Spectral and scattering theory for symbolic potentials of order zero
Spectral projection, residue of the scattering amplitude and Schrödinger group expansion for barrier-top resonances
We study the spectral projection associated to a barrier-top resonance for the semiclassical Schrödinger operator. First, we prove a resolvent estimate for complex energies close to such a resonance. Using that estimate and an explicit representation of the resonant states, we show that the spectral projection has a semiclassical expansion in integer powers of , and compute its leading term. We use this result to compute the residue of the scattering amplitude at such a resonance. Eventually, we...
Spectral properties of the spin-boson hamiltonian
Strichartz inequality for orthonormal functions
We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the Schrödinger equation in a time-dependent potential and we show the existence of the wave operator in Schatten spaces.
Structured matrix numerical solution of the nonlinear Schrödinger equation by the inverse scattering transform.
Sul comportamento asintotico della soluzione di un problema di radiazione
Sur l'approximation de Born-Oppenheimer des opérateurs d'onde
Sur l'existence des opérateurs d'onde dans la théorie algébrique de la diffusion